AO = BO
= 2.9 cm
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Question
Draw a line segment of given length and construct a perpendicular bisector to line segment using scale and compass
58 mm
Diagram
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Solution
58 mm = `58 xx 1/10` cm = 5.8 cm
Construction:
Step 1: Drawn a line. Marked two points A and B on it so that
AB = 5.8 cm = 58 mm.
Step 2: Using compass with A as centre and radius more than half of the length of AB, drawn two arcs of the same length one above AB and one below AB.
Step 3: With the same radius and B as centre drawn two arcs to cut the arcs of drawn in step 2.
Marked the points of intersection of the arcs as C and D.
Step 4: Joined C and D. CD intersects AB. Marked the point of intersection as O.
CD is the required perpendicular bisector.
∠AOC = 90°
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